General culture
What is the name of the inverse operations of an Integral.
The derivative.
Other form to indicate a derivative instead dy/dx could be...
f´(x), y´, df/dx.
Which are three parts of all integrls must have?
Simbol of integral, function and differential.
The antiderivative is also known as a...
Primary function.
Why the derivative of a constant is zero?
Because the slope of a constant function is zero or its rate of change is zero.
Which are the two kinds of integrals that could be solved by same method but result of one is a function and the other a constant?
Indefinite and definite integral.
In an antiderivative, what is the name of "c"?
Constant of integration.
Whats is a slope?
It is the inclination of a straight line or a rate of chance between two variables.
Why does the differential dissapear in the antiderivative?
Because it is the inverse of the integral, that is why it is canceled.
Write a paragraph of a song with the word "función", "derivad@" or "integrar" and sing it for 5 seconds.
Lets sing!
What is the derivative?
It is a reate of change of a function or the slope of tangent line of a curve.
Solve integral of [(6x-3x^-2)/2x^2] dx
ln(x^3)+(1/2x^3)+c
Why does "c" exist in an antiderivative?
To recover the possible constant of the primary function that cuold be lost in the derivative.
What is a differential?
It is an infinitely small change of variable, it means an infinitely small caviable increment.
Solve integral of [4x/(3*sqrt(x^5)]dx
-8/(3*sqrt(x))+c